is 2 6975583 - 1
has 2099860 decimal digits
takes 1.521 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L28EAFD20347854F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.097368.0556%40000001100000003.09076.5360%140.188070.1434%
Target2674.259765.6716%4500072000000.13752.2392%4.397266.4403%
Difference+5+132.8376+2.3839%+3955000+102800000+2.9532+4.2967%+135.7908+3.7031%

Known prime factors (1 factor, 95.8 bits, 0.00137405% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6975583713126757133237243885233347212995.8485111592515874567357920
25 × 5 × 31 × 53069 × 2849299 × 6815467
2021-11-22284929968154672.276e+90.96921.8335

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16ANONYMOUSv4_computers35000341250---0.016--0.800%
2011-12-08James HeinrichQ66001350002835000---0.089--2.034%
2020-01-29takahashivaio6000001200000012---0.386--3.585%
2021-11-22Seth_TrManual testing4000000110000000122995.8483.0913.0426.1816.536%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21ANONYMOUSv4_computers21262--0.088--
2005-08-01ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.281--
2014-02-15lycornManual testing264265--0.536--
2015-07-03VictordeHollanderManual testing265266--1.071--
2016-04-26Gordon SpenceManual testing266267--2.143--
2018-02-26-Anonymous-Manual testing267268--4.285--
2020-04-24TJAOIManual testing268269--8.570--
2021-08-08takahashiManual testing269270--17.14--
2021-09-06SRBaseManual testing270271--34.28--
2021-09-25SRBaseManual testing271272--68.56--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computers56AEEC0E21063C__1.521
1999-05-30bytemiserv4_computers28EAFD20347854F41.521
2001-10-13ANONYMOUSv4_computers28EAFD20347854F41.521


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-28RichD0Linux-5
71312675713323724388523334721
927611F871189A41no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
Last modified: 2023-06-05T21:50:05+00:00